摘要
As we know,thus far,there has appeared no definition of bilinear spectral multipliers on Heisenberg groups.In this article,we present one reasonable definition of bilinear spectral multipliers on Heisenberg groups and investigate its boundedness.We find some restrained conditions to separately ensure its boundedness from C0(H^(n))×L^(2)(H^(n))to L^(2)(H^(n)),from L2(H^(n))×C0(H^(n))to L^(2)(H^(n)),and from L^(p)×L^(q) to L^(r) with 2<p,q<∞,2≤r≤∞.
作者
Naiqi SONG
Heping LIU
Jiman ZHAO
宋乃琪;刘和平;赵纪满(Key Laboratory of Mathematics and Complex Systems,Ministry of Education,Institution of Mathematics and Mathematical Education,School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China;School of Chinese Medicine,Beijing University of Chinese Medicine,Beijing 100029,China;School of Mathematical Sciences,Peking University,Beijing 100871,China)
基金
Supported by National Natural Science Foundation of China(11471040 and 11761131002)。
